Average capacity of MIMO/FSO systems with equal gain combining over log-normal channels

Atmospheric turbulence is one of the major challenges in free-space optical (FSO) systems. The use of multiple receivers and multiple transmitters provides an effective approach to mitigate the fading effect caused by the atmospheric turbulence. In this paper we extract the closed form expression for the average capacity of the multiple-input multiple-output (MIMO) FSO channel. Equal gain combining spatial diversity technique in the log-normal turbulence regime is considered. Our analytical derivations are constructed based on the Wilkilson approximation to the sum of log-normal random variables. The derived capacity expressions quantify the advantages of spatial diversity techniques.

[1]  E. Leitgeb,et al.  Free-space optical communication employing subcarrier modulation and spatial diversity in atmospheric turbulence channel , 2008 .

[2]  Norman C. Beaulieu,et al.  An optimal lognormal approximation to lognormal sum distributions , 2004, IEEE Transactions on Vehicular Technology.

[3]  Norman C. Beaulieu,et al.  Estimating the distribution of a sum of independent lognormal random variables , 1995, IEEE Trans. Commun..

[4]  Jingxian Wu,et al.  Approximating a Sum of Random Variables with a Lognormal , 2007, IEEE Transactions on Wireless Communications.

[5]  Arun K. Majumdar,et al.  Free-space laser communication performance in the atmospheric channel , 2005 .

[6]  Zabih Ghassemlooy,et al.  Optical Wireless Communications: System and Channel Modelling with MATLAB® , 2012 .

[7]  Fortunato Santucci,et al.  Generalized Moment Matching for the Linear Combination of Lognormal RVs - Application to Outage Analysis in Wireless Systems , 2006, 2006 IEEE 17th International Symposium on Personal, Indoor and Mobile Radio Communications.

[8]  Maïté Brandt-Pearce,et al.  Free-space optical MIMO transmission with Q-ary PPM , 2005, IEEE Transactions on Communications.

[9]  George S. Tombras,et al.  Average Capacity of Optical Wireless Communication Systems Over Atmospheric Turbulence Channels , 2009 .

[10]  Etty J. Lee,et al.  Part 1: optical communication over the clear turbulent atmospheric channel using diversity , 2004, IEEE Journal on Selected Areas in Communications.

[11]  J. Walkup,et al.  Statistical optics , 1986, IEEE Journal of Quantum Electronics.

[12]  George K. Karagiannidis,et al.  FSO Links with Spatial Diversity over Strong Atmospheric Turbulence Channels , 2008, 2008 IEEE International Conference on Communications.

[13]  Mohsen Kavehrad,et al.  BER Performance of Free-Space Optical Transmission with Spatial Diversity , 2007, IEEE Transactions on Wireless Communications.

[14]  S. Schwartz,et al.  On the distribution function and moments of power sums with log-normal components , 1982, The Bell System Technical Journal.

[15]  Joseph M. Kahn,et al.  Free-space optical communication through atmospheric turbulence channels , 2002, IEEE Trans. Commun..

[16]  Sofiène Affes,et al.  On the capacity of log-normal fading channels , 2009, IEEE Transactions on Communications.

[17]  Kaushik Chakraborty Capacity of the MIMO optical fading channel , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[18]  Jeffrey H. Shapiro,et al.  Capacity of wireless optical communications , 2003, IEEE J. Sel. Areas Commun..